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It seems that somebody reasoned that the circle could be approximated by lots of small triangles (two of the triangle's sides being radii of the circle in each case). This method is very similar to that used in modern calculus, to calculated more complicated areas.

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Q: How was the formula of the area of circle discovered?
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Related questions

What is formula for the area of a circle?

the formula for the area of a circle is 3.14 x radius squared


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The formula to find the area of a circle is: A = pi * r2


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Archimedes


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Formula and result of area of circle?

The formula for the area of a circle is: Area = (pi) x (Radius)2 . When you know the radius of the circle and you use it to calculate the area of the circle, the result will be equal to (pi) x (Radius)2 .


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In order to convert the area of a circle to the circumference of the circle, divide by the radius and multiply by two. The formula for the circumference of a circle is pi times the diameter.


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The Egyptians calculated the area of a circle by a formula that gave a aproximate value of 3.1605